{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy as sci\n",
    "from scipy import integrate\n",
    "from matplotlib import pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#初始条件\n",
    "L = 1.0\n",
    "x0 = -L\n",
    "y0 = -L\n",
    "x1 = L\n",
    "y1 = L\n",
    "n = 7\n",
    "h = (2.0*L)/(n-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#将点的编号转化为点的坐标\n",
    "def gPidx_to_Point(x0, y0, n, h, pi):\n",
    "    if pi > n**2-1:\n",
    "        return(-999, -999)\n",
    "    x = x0+(pi%n)*h\n",
    "    y = y0+(pi//n)*h\n",
    "    return (x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.33333333333333326, -0.33333333333333337)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gPidx_to_Point(x0, y0, n, h, 18)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "#将单元的编号转化为对应四个点的编号\n",
    "def gEidx_to_Pidx(n, ei):\n",
    "    if ei > (n-1)**2 - 1:\n",
    "        return (-1, -1, -1, -1)\n",
    "    LB = ei+ei//(n-1)\n",
    "    return [LB, LB+1, LB+n+1, LB+n]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[11, 12, 19, 18]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gEidx_to_Pidx(n, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "#将单元的编号转化为对应四个点的坐标\n",
    "def gEidx_to_Point(n, ei):\n",
    "    gpi = gEidx_to_Pidx(n, ei)\n",
    "    points = np.zeros((4, 2), dtype = float)\n",
    "    k = 0\n",
    "    for pi in gpi:\n",
    "        points[k][0], points[k][1] = gPidx_to_Point(x0, y0, n, h, pi)\n",
    "        k = k + 1    \n",
    "    return points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "B = gEidx_to_Point(n, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.33333333, -0.66666667],\n",
       "       [ 0.66666667, -0.66666667],\n",
       "       [ 0.66666667, -0.33333333],\n",
       "       [ 0.33333333, -0.33333333]])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "B"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.6666666666666667"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "B[0,:][1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "#四个基函数\n",
    "def Chi(xi, eta):\n",
    "    Chi1 = (xi-1.0)*(eta-1.0)/4.0\n",
    "    Chi2 = -(xi+1.0)*(eta-1.0)/4.0\n",
    "    Chi3 = (xi+1.0)*(eta+1.0)/4.0\n",
    "    Chi4 = -(xi-1.0)*(eta+1.0)/4.0\n",
    "    return [Chi1, Chi2, Chi3, Chi4]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "#四个基函数的梯度\n",
    "def GradientChi(xi, eta):\n",
    "    Chi1xi = (eta-1.0)/4.0\n",
    "    Chi1eta = (xi-1.0)/4.0\n",
    "    Chi2xi = (1.0-eta)/4.0\n",
    "    Chi2eta = -(xi+1.0)/4.0\n",
    "    Chi3xi = (eta+1.0)/4.0\n",
    "    Chi3eta = (xi+1.0)/4.0\n",
    "    Chi4xi = -(eta+1.0)/4.0\n",
    "    Chi4eta = -(xi-1.0)/4.0\n",
    "    return [[Chi1xi, Chi2xi, Chi3xi, Chi4xi], [Chi1eta, Chi2eta, Chi3eta, Chi4eta]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "#d(x,y)/d(xi,eta)\n",
    "def gtol_Jacobian(n, ei, xi, eta):\n",
    "    G = GradientChi(xi, eta)\n",
    "    P = gEidx_to_Point(n, ei)\n",
    "    Jk = np.dot(G, P)\n",
    "    return Jk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "#det of d(x,y)/d(xi,eta)\n",
    "def gtol_Jdet(n, ei, xi, eta):\n",
    "    J = gtol_Jacobian(n, ei, xi, eta)\n",
    "    det = np.linalg.det(J)\n",
    "    return det"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "#(d(xi,eta)/d(x,y))^T\n",
    "def ltog_Jacobian(n, ei, xi, eta):\n",
    "    Jk = gtol_Jacobian(n, ei, xi, eta)\n",
    "    det = gtol_Jdet(n, ei, xi, eta)\n",
    "    J = np.zeros((2, 2), dtype = float)\n",
    "    J[0][0] = Jk[1][1]/det\n",
    "    J[0][1] = -Jk[0][1]/det\n",
    "    J[1][0] = -Jk[1][0]/det\n",
    "    J[1][1] = Jk[0][0]/det\n",
    "    return J"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "#在某个全局单元上局部点到全局点的映射\n",
    "def ltogmap(n, ei, xi, eta):\n",
    "    p = gEidx_to_Point(n, ei)\n",
    "    C = Chi(xi, eta)\n",
    "    x = p[0][0]*C[0] + p[1][0]*C[1] + p[2][0]*C[2] + p[3][0]*C[3]\n",
    "    y = p[0][1]*C[0] + p[1][1]*C[1] + p[2][1]*C[2] + p[3][1]*C[3]\n",
    "    return x,y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "#右端项f(xi,eta)\n",
    "def f(n, ei, xi, eta):\n",
    "    (x, y) = ltogmap(n, ei, xi, eta)\n",
    "    f = 2*np.pi*np.pi*np.sin(np.pi*x)*np.sin(np.pi*y)\n",
    "    return f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "#构建Galerkin系统\n",
    "def Galerkin_Assembly(n, L, f):\n",
    "    PN = n*n\n",
    "    EN = (n-1)*(n-1)\n",
    "    Af = np.zeros((PN, PN+1), dtype = float)#前n列储存系数矩阵A，最后一列储存右端项f\n",
    "    for eidx in range(EN):\n",
    "        Pidx_set = gEidx_to_Pidx(n, eidx)\n",
    "        Jk_det = lambda xi, eta: gtol_Jdet(n, eidx, xi, eta)\n",
    "        T = lambda xi, eta: np.dot(ltog_Jacobian(n, eidx, xi, eta), GradientChi(xi, eta))\n",
    "        count1 = 0\n",
    "        for pidx1 in Pidx_set:\n",
    "            count2 = 0\n",
    "            for pidx2 in Pidx_set:\n",
    "                a_int = lambda xi, eta: (T(xi,eta)[0][count1]*T(xi,eta)[0][count2] + T(xi,eta)[1][count1]*T(xi,eta)[1][count2])*Jk_det(xi, eta)\n",
    "                Af[pidx1][pidx2] = Af[pidx1][pidx2] + integrate.dblquad(a_int, -L, L, lambda xi: -L, lambda eta: L)[0]\n",
    "                count2 = count2 + 1\n",
    "            f_int = lambda xi, eta: f(n, eidx, xi, eta)*Chi(xi, eta)[count1]*Jk_det(xi,eta)\n",
    "            Af[pidx1][PN] = Af[pidx1][PN] + integrate.dblquad(f_int, -L, L, lambda xi: -L, lambda eta: L)[0]\n",
    "            count1 = count1 + 1\n",
    "    return Af"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "boundary_point = [0,1,2,3,4,5,6,7,13,14,20,21,27,28,34,35,41,42,43,44,45,46,47,48]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "Galerkin = Galerkin_Assembly(n, L, f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "PN = n*n\n",
    "A = np.array(Galerkin[:,0:PN])\n",
    "f = np.array(Galerkin[:,PN])\n",
    "zero = np.zeros((1, PN), dtype = float)\n",
    "for i in range(PN):\n",
    "    for j in boundary_point:\n",
    "        A[i][j] = 0\n",
    "for i in boundary_point:\n",
    "    A[i,:] = zero\n",
    "    A[i][i] = 1\n",
    "    f[i] = 0\n",
    "numerical_u = np.linalg.solve(A,f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(-1, 1+h, h)\n",
    "y = np.arange(-1, 1+h, h)\n",
    "(X, Y) = np.meshgrid(x, y)\n",
    "u = np.zeros((n, n), dtype = float)\n",
    "for i in range(n-2):\n",
    "    u[i+1,1:n-1] = numerical_u[i*(n-2):(i+1)*(n-2)]\n",
    "fig = plt.figure()\n",
    "ax = plt.gca(projection='3d')\n",
    "ax.plot_surface(x,y,u,rstride=1,cstride=1,cmap='rainbow')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(-1, 1+0.01, 0.01)\n",
    "y = np.arange(-1, 1+0.01, 0.01)\n",
    "(X, Y) = np.meshgrid(x, y)\n",
    "u = np.sin(np.pi*X)*np.sin(np.pi*Y)\n",
    "fig = plt.figure()\n",
    "ax = plt.gca(projection='3d')\n",
    "ax.plot_surface(x,y,u,rstride=1,cstride=1,cmap='rainbow')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
